Analysis of Tensegrity Rotationally Repetitive Space Structures Using the Substructuring Method
Publication: Practice Periodical on Structural Design and Construction
Volume 27, Issue 2
Abstract
In this paper, a substructuring method is presented for calculating the displacement of cable domes. This method obtained matrices as a canonical form in cyclic structures using graph theory. This method helps to avoid the generation of the entire matrices. Then, a solution for the eigenproblem is presented and nonlinear equations are solved by the Newton–Raphson method. In this paper, the cable domes are prestressed rotationally repetitive structures that are cyclically symmetric, having cable part and compression strut part. For clarifying the benefits of the proposed method, both the usual method and the substructuring method are performed for some examples. Results show that the time and memory are considerably (more than 80%) saved in the substructuring approach.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
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© 2022 American Society of Civil Engineers.
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Received: Jul 14, 2021
Accepted: Dec 2, 2021
Published online: Jan 31, 2022
Published in print: May 1, 2022
Discussion open until: Jun 30, 2022
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